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135928520 = 235713107349
BaseRepresentation
bin10000001101000…
…01101011001000
3100110202212212122
420012201223020
5234244203040
621253230412
73240242030
oct1006415310
9313685778
10135928520
116a801122
1239632408
13222130a0
14140a48c0
15be001b5
hex81a1ac8

135928520 has 128 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 42494976.

The previous prime is 135928501. The next prime is 135928531. The reversal of 135928520 is 25829531.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389306 + ... + 389654.

It is an arithmetic number, because the mean of its divisors is an integer number (2976750).

Almost surely, 2135928520 is an apocalyptic number.

135928520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135928520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

135928520 is an abundant number, since it is smaller than the sum of its proper divisors (245095480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135928520 is a wasteful number, since it uses less digits than its factorization.

135928520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 135928520 is about 11658.8387071783. The cubic root of 135928520 is about 514.1662066524.

The spelling of 135928520 in words is "one hundred thirty-five million, nine hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 107 130 140 182 214 260 280 349 364 428 455 520 535 698 728 749 856 910 1070 1391 1396 1498 1745 1820 2140 2443 2782 2792 2996 3490 3640 3745 4280 4537 4886 5564 5992 6955 6980 7490 9074 9737 9772 11128 12215 13910 13960 14980 18148 19474 19544 22685 24430 27820 29960 31759 36296 37343 38948 45370 48685 48860 55640 63518 74686 77896 90740 97370 97720 127036 149372 158795 181480 186715 194740 254072 261401 298744 317590 373430 389480 485459 522802 635180 746860 970918 1045604 1270360 1307005 1493720 1941836 2091208 2427295 2614010 3398213 3883672 4854590 5228020 6796426 9709180 10456040 13592852 16991065 19418360 27185704 33982130 67964260 135928520